∮Research
Programmes, evidence, and archives.
A small number of long-running research threads, organized around typed questions of sharing, identity, observer-relative role, formation, and embodied testing — without assuming in advance that one universal object unifies them.
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Main research · Canon 24
Unified Latent Representation
ULR is the current Main research programme. Canon 24 and Ledger 105 conclude that no additional neural-specific ULR ontology is currently established (M8: NO); the programme continues by testing whether a typed organisational residual links Sharing, Identity, observer-relative Role, and Formation.
- 02
Active · book in progress
Mathematical foundations
RelationWorld is an active mathematical-foundations line developed as a long-form book and theorem sequence.
- 03
Audited · scalar single-mode result
Delay-robust control
For the scalar recurrence e[t+1] = ρe[t] − K_c e[t−d], ρ + |K_c| < 1 is sufficient for Schur stability for every integer delay d ≥ 1. This does not establish coupled multimode or deployed-controller stability; the B-operator bound and PD-gain mapping remain open.
- 04
Active · experimental programme
Robotics applications
Hardware and simulation work remain active as test instruments for perception, planning, and control claims.
- 05
Audited · archived programme
Ontology Neural Networks
The original higher-order/cohomological thesis was audited to a scoped No-Go boundary. The paper remains the historical record; a modest direction-channel signal, a scalar delayed-recurrence Schur-stability result, and the audit method survive. A coupled system-level control certificate is not established, and active development has moved to ULR.
- 06
Historical · archived programme
Perception theory
Soft Cognitive Cohesion is preserved as a sealed historical programme at CV-1.17. Its mathematics and 98-claim ledger remain available, while active main research has moved to ULR.